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Finding the Fourth Proportional to 1,291.95, 1,781.55 and 1,106.06

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Solution

The fourth proportional to 1,291.95, 1,781.55 and 1,106.06 is: 1,525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.95 : 1,781.55 = 1,106.06 : x
  2. Step 2: Convert to fraction form
    1,291.95/1,781.55 = 1,106.06/x
  3. Step 3: Cross multiply
    1,291.95x = 1,781.55 × 1,106.06
  4. Step 4: Simplify right side
    1,291.95x = 1,970,492.29
  5. Step 5: Solve for x
    x = 1,970,492.29/1,291.95
  6. Step 6: Final answer
    x = 1,525.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.